Precalculus Examples

$\log (\frac{y}{x^{4}})$

Step 1

Rewrite $\log (\frac{y}{x^{4}})$ as $\log (y) - \log (x^{4})$ .

$\log (y) - \log (x^{4})$

Step 2

Expand $\log (x^{4})$ by moving $4$ outside the logarithm.

$\log (y) - (4 \log (x))$

Step 3

Multiply $4$ by $- 1$ .

$\log (y) - 4 \log (x)$